Question

Write the equation you would use in excel to find the present value of the following...

Write the equation you would use in excel to find the present value of the following cash flows assuming the required return was 10%/year and the long term perpetual growth rate in cash inflows post 68 months is 3%/year:

A B C D E F G
1 Time 0 8 Months 20 Months 32 Months 44 Months 56 Months 68 Months
2 -$200 m $40 m $80 m $120 m $140 m $180 m
0 0
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Answer #1

Monthly ROR=10%/12=0.833%

Monthly Growth Rate=3%/12=0.25%

Terminal Cash Flow=180*(1+0.25%)/(0.833%-0.25%)=30951.97

So the Present Value of all the cash flow=

-200/(1+0.833%)^8 + 40/(1+0.833%)^20 + 80/(1+0.833%)^32 + 120/(1+0.833%)^44 + 140/(1+0.833%)^56 + 180/(1+0.833%)^68 + 30951.97/(1+0.833%)^69=$17644.11

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